Open Access

Regularization of nonlinear Ill-posed equations with accretive operators

Fixed Point Theory and Applications20052005:406439

https://doi.org/10.1155/FPTA.2005.11

Received: 11 October 2004

Published: 28 April 2005

Abstract

We study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important examples of applications are evolution equations and co-variational inequalities in Banach spaces.

Authors’ Affiliations

(1)
Department of Mathematics, Technion - Israel Institute of Technology
(2)
Mathematics Section, The Abdus Salam International Centre for Theoretical Physics

Copyright

© Alber et al. 2005